Zero volume boundary for extension domains from Sobolev to BV
Rajala, T., & Zhu, Z. (2024). Zero volume boundary for extension domains from Sobolev to BV. Revista Matemática Complutense, Early online. https://doi.org/10.1007/s13163-024-00485-6
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Revista Matemática ComplutenseDate
2024Discipline
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Copyright
© The Author(s) 2024
In this note, we prove that the boundary of a (W1,p, BV )-extension domain is of volume zero under the assumption that the domain is 1-fat at almost every x ∈ ∂. Especially, the boundary of any planar (W1,p, BV )-extension domain is of volume zero.
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1139-1138Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/207193759
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Open Access funding provided by University of Jyväskylä (JYU).License
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